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math.NA2021
The decompositions and positive semidefiniteness of fourth-order conjugate partial-symmetric tensors with applications
Pengfei Huang, Qingzhi Yang
Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particul…
math.NA2021
The low-rank approximation of fourth-order partial-symmetric and conjugate partial-symmetric tensor
Amina Sabir, Pegnfei Huang, Qingzhi Yang
We present an orthogonal matrix outer product decomposition for the fourth-order conjugate partial-symmetric (CPS) tensor and show that the greedy successive rank-one approximation…
math.NA2021
Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations
Pengfei Huang, Qingzhi Yang
The discretization of Gross-Pitaevskii equations (GPE) leads to a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv). In this paper, we use two Newton-based methods…